Stochastic Cahn-Hilliard equations driven by Poisson random measures
We study a stochastic Cahn-Hilliard equation driven by a Poisson random measure with Neumann boundary conditions. The global weak solution is established for the equation. Moreover, the existence of a Lyapunov function for the equation and an invariant measure associated with the transition semigrou...
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| Veröffentlicht in: | Science China. Mathematics 2014-12, Vol.57 (12), p.2563-2576 |
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| container_end_page | 2576 |
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| container_title | Science China. Mathematics |
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| creator | Jiang, YiMing Shi, KeHua Wang, SuXin |
| description | We study a stochastic Cahn-Hilliard equation driven by a Poisson random measure with Neumann boundary conditions. The global weak solution is established for the equation. Moreover, the existence of a Lyapunov function for the equation and an invariant measure associated with the transition semigroup are proved. |
| doi_str_mv | 10.1007/s11425-014-4856-5 |
| format | Article |
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| subjects | Applications of Mathematics Boundary conditions China d方程 Group theory Invariants Lyapunov functions Mathematical analysis Mathematics Mathematics and Statistics Stochasticity 不变测度 函数方程 李亚普诺夫 松 诺伊曼边界条件 随机测度 驱动 |
| title | Stochastic Cahn-Hilliard equations driven by Poisson random measures |
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